%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET661+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:47:43 PM UTC 2026
% Result : Theorem 37.81s 6.71s
% Output : CNFRefutation 37.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f203ERROR: Could not build tree for root c_89111ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,domain_of(X1))
<=> ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),X2)
=> ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),inverse(X2))
<=> member(ordered_pair(X1,X0),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(inverse(X0),binary_relation_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(f27,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( relation_like(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
=> ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
fof(f28,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(f31,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).
fof(f33,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p33) ).
fof(f35,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> inverse3(X0,X1,X2) = inverse(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p35) ).
fof(f36,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p36) ).
fof(f37,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37) ).
fof(f38,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( range(X1,X0,inverse3(X0,X1,X2)) = domain(X0,X1,X2)
& domain(X1,X0,inverse3(X0,X1,X2)) = range(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_24) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( range(X1,X0,inverse3(X0,X1,X2)) = domain(X0,X1,X2)
& domain(X1,X0,inverse3(X0,X1,X2)) = range(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f40,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( member(X0,domain_of(X1))
<=> ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) ) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f41,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f42,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f43,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( member(ordered_pair(X0,X1),inverse(X2))
<=> member(ordered_pair(X1,X0),X2) ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f47,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X3] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f53,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ilf_type(inverse(X0),binary_relation_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f62,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f63,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(flattening,[],[f62]) ).
fof(f72,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( relation_like(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f73,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( relation_like(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f78,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f80,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f82,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| inverse3(X0,X1,X2) = inverse(X2) ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f83,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0)) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f84,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,relation_type(X0,X1))
& ( domain(X0,X1,X2) != range(X1,X0,inverse3(X0,X1,X2))
| range(X0,X1,X2) != domain(X1,X0,inverse3(X0,X1,X2)) ) ) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f85,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,domain_of(X1))
| ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,domain_of(X1)) ) ) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f86,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,domain_of(X1))
| ? [X3] :
( member(ordered_pair(X0,X3),X1)
& ilf_type(X3,set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,domain_of(X1)) ) ) ) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,domain_of(X1))
| ( member(ordered_pair(X0,sK0(X0,X1)),X1)
& ilf_type(sK0(X0,X1),set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,domain_of(X1)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f86]) ).
fof(f88,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,range_of(X1))
| ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,range_of(X1)) ) ) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f89,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,range_of(X1))
| ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,range_of(X1)) ) ) ) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ~ member(X0,range_of(X1))
| ( member(ordered_pair(sK1(X0,X1),X0),X1)
& ilf_type(sK1(X0,X1),set_type) ) )
& ( ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) )
| member(X0,range_of(X1)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f89]) ).
fof(f91,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( ( ~ member(ordered_pair(X0,X1),inverse(X2))
| member(ordered_pair(X1,X0),X2) )
& ( ~ member(ordered_pair(X1,X0),X2)
| member(ordered_pair(X0,X1),inverse(X2)) ) ) ) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f96,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( X0 != X1
| ( subset(X1,X0)
& subset(X0,X1) ) )
& ( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f97,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( X0 != X1
| ( subset(X1,X0)
& subset(X0,X1) ) )
& ( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ) ) ) ),
inference(flattening,[],[f96]) ).
fof(f107,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f108,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ) ) ),
inference(rectify,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( ilf_type(sK7(X0,X1),set_type)
& member(sK7(X0,X1),X0)
& ~ member(sK7(X0,X1),X1) )
| subset(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f108]) ).
fof(f115,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ relation_like(X0)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) )
& ( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0)
& ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| relation_like(X0) ) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f116,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ relation_like(X0)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(X4,X0)
| ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) ) ) )
& ( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0)
& ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| relation_like(X0) ) ) ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ relation_like(X0)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(X4,X0)
| ( ordered_pair(sK11(X4),sK12(X4)) = X4
& ilf_type(sK12(X4),set_type)
& ilf_type(sK11(X4),set_type) ) ) )
& ( ( ilf_type(sK10(X0),set_type)
& member(sK10(X0),X0)
& ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK10(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| relation_like(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X1,sK10(X0)),skolemize(X5,sK11(X4)),skolemize(X6,sK12(X4))],[f116]) ).
fof(f121,plain,
( ilf_type(sK14,set_type)
& ilf_type(sK15,set_type)
& ilf_type(sK16,relation_type(sK14,sK15))
& ( domain(sK14,sK15,sK16) != range(sK15,sK14,inverse3(sK14,sK15,sK16))
| range(sK14,sK15,sK16) != domain(sK15,sK14,inverse3(sK14,sK15,sK16)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16)],[f84]) ).
fof(f122,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,domain_of(X1))
| member(ordered_pair(X0,sK0(X0,X1)),X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type)
| member(X0,domain_of(X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f125,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1))
| member(ordered_pair(sK1(X0,X1),X0),X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type)
| member(X0,range_of(X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X1,range_of(X2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X0,domain_of(X2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),inverse(X2))
| member(ordered_pair(X1,X0),X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X1,X0),X2)
| member(ordered_pair(X0,X1),inverse(X2)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f135,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f47]) ).
fof(f140,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f97]) ).
fof(f144,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ilf_type(inverse(X0),binary_relation_type) ),
inference(cnf_transformation,[],[f53]) ).
fof(f162,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f163,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f174,plain,
! [X0,X4] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X4,set_type)
| ~ member(X4,X0)
| ordered_pair(sK11(X4),sK12(X4)) = X4 ),
inference(cnf_transformation,[],[f117]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| inverse(X2) = inverse3(X0,X1,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f191,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f37]) ).
fof(f194,plain,
ilf_type(sK16,relation_type(sK14,sK15)),
inference(cnf_transformation,[],[f121]) ).
fof(f195,plain,
( domain(sK14,sK15,sK16) != range(sK15,sK14,inverse3(sK14,sK15,sK16))
| range(sK14,sK15,sK16) != domain(sK15,sK14,inverse3(sK14,sK15,sK16)) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(X0,sK0(X0,X1)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,domain_of(X1)) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(sK1(X0,X1),X0),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,range_of(X1)) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X1,X0),inverse(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X1,X0),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),inverse(X2)) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_71,plain,
! [X0: $i] :
( ilf_type(inverse(X0),binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_73,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair(sK11(X0),sK12(X0)) = X0 )
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse3(X1,X2,X0) = inverse(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(inverse3(X1,X2,X0),relation_type(X2,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_116,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f191]) ).
tcf(c_117,negated_conjecture,
( ( range(sK15,sK14,inverse3(sK14,sK15,sK16)) != domain(sK14,sK15,sK16) )
| ( domain(sK15,sK14,inverse3(sK14,sK15,sK16)) != range(sK14,sK15,sK16) ) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_118,negated_conjecture,
ilf_type(sK16,relation_type(sK14,sK15)),
inference(cnf_transformation,[],[f194]) ).
tcf(c_211,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_116,c_73]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption_just,[status(thm)],[c_86,c_116,c_86]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i] :
( subset(X1,X0)
| member(sK7(X1,X0),X1)
| ~ ilf_type(X0,set_type) ),
inference(renaming,[status(thm)],[c_238]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i] :
( subset(X1,X0)
| member(sK7(X1,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_239,c_116,c_239]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_240]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ member(sK7(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_85,c_116,c_85]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_65,c_116,c_65]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ilf_type(X1,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(renaming,[status(thm)],[c_285]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(sK1(X0,X1),X0),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_116,c_54]) ).
tcf(c_290,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(X0,sK0(X0,X1)),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,domain_of(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_116,c_51]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_116,c_56]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_116,c_55]) ).
tcf(c_313,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair(sK11(X0),sK12(X0)) = X0 )
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_104,c_116,c_104]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X1,X0),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),inverse(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_116,c_58]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X1,X0),inverse(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_116,c_57]) ).
tcf(c_339,plain,
! [X0: $i] :
( ilf_type(inverse(X0),binary_relation_type)
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_116,c_71,c_73]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK7(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_252,c_116]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_286,c_116]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_112,c_116]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_110,c_116]) ).
tcf(c_513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(inverse3(X1,X2,X0),relation_type(X2,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_115,c_116]) ).
tcf(c_516,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_311,c_116]) ).
tcf(c_517,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_309,c_116]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X1,X0),inverse(X2))
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_325,c_116]) ).
tcf(c_519,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(ordered_pair(X1,X0),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),inverse(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_323,c_116]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_116]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_105,c_116]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair(sK11(X0),sK12(X0)) = X0 )
| ~ relation_like(X1)
| ~ member(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_313,c_116]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse3(X1,X2,X0) = inverse(X0) )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_114,c_116]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523,c_116]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_521,c_116]) ).
tcf(c_762,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_511,c_116]) ).
tcf(c_773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_512,c_116]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(inverse3(X1,X2,X0),relation_type(X2,X1))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_513,c_116]) ).
tcf(c_795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse3(X1,X2,X0) = inverse(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_526,c_116]) ).
tcf(c_1302,plain,
! [X0: $i] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_211]) ).
tcf(c_1308,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_like(X0)
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_630,c_712]) ).
tcf(c_1310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( domain(X1,X2,X0) = domain_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_773]) ).
tcf(c_1314,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( range(X1,X2,X0) = range_of(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_762]) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse3(X1,X2,X0) = inverse(X0) )
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_795]) ).
tcf(c_1320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ilf_type(inverse3(X1,X2,X0),relation_type(X2,X1))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_784]) ).
tcf(c_1322,plain,
! [X0: $i,X1: $i] :
( ~ member(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_507]) ).
tcf(c_1323,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK7(X0,X1),X1) ),
inference(renaming,[status(thm)],[c_1322]) ).
tcf(c_1324,plain,
! [X0: $i,X1: $i] :
( member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_241]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_1324]) ).
tcf(c_1326,plain,
! [X0: $i] :
( ilf_type(inverse(X0),binary_relation_type)
| ~ relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_339]) ).
tcf(c_2128,definition,
iPr_def_10 = relation_type(sK14,sK15),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2129,definition,
iPr_def_11 = inverse3(sK14,sK15,sK16),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2130,definition,
iPr_def_12 = domain(sK15,sK14,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2131,definition,
iPr_def_13 = range(sK14,sK15,sK16),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2132,definition,
iPr_def_14 = range(sK15,sK14,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2133,definition,
iPr_def_15 = domain(sK14,sK15,sK16),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2134,negated_conjecture,
ilf_type(sK16,iPr_def_10),
inference(demodulation,[status(thm)],[c_118,c_2128]) ).
tcf(c_2135,negated_conjecture,
( ( iPr_def_14 != iPr_def_15 )
| ( iPr_def_12 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_117,c_2133,c_2132,c_2131,c_2129,c_2130]) ).
tcf(c_3217,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2128,c_1308]) ).
tcf(c_3250,plain,
relation_like(sK16),
inference(superposition,[status(thm)],[c_2134,c_3217]) ).
tcf(c_3420,plain,
! [X0: $i] :
( ( domain(sK14,sK15,X0) = domain_of(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2128,c_1310]) ).
tcf(c_3462,plain,
! [X0: $i] :
( ( range(sK14,sK15,X0) = range_of(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2128,c_1314]) ).
tcf(c_3474,plain,
! [X0: $i] :
( ( inverse3(sK14,sK15,X0) = inverse(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2128,c_1318]) ).
tcf(c_3529,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ subset(iPr_def_13,iPr_def_12)
| ~ subset(iPr_def_12,iPr_def_13) ),
inference(instantiation,[status(thm)],[c_510]) ).
tcf(c_3570,plain,
( ilf_type(iPr_def_11,relation_type(sK15,sK14))
| ~ ilf_type(sK16,relation_type(sK14,sK15)) ),
inference(superposition,[status(thm)],[c_2129,c_1320]) ).
tcf(c_3578,plain,
( ilf_type(iPr_def_11,relation_type(sK15,sK14))
| ~ ilf_type(sK16,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_3570,c_2128]) ).
tcf(c_3579,plain,
ilf_type(iPr_def_11,relation_type(sK15,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_3578,c_2134]) ).
tcf(c_3676,plain,
( ( iPr_def_14 = iPr_def_15 )
| ~ subset(iPr_def_15,iPr_def_14)
| ~ subset(iPr_def_14,iPr_def_15) ),
inference(instantiation,[status(thm)],[c_510]) ).
tcf(c_3736,plain,
range(sK15,sK14,iPr_def_11) = range_of(iPr_def_11),
inference(superposition,[status(thm)],[c_3579,c_1314]) ).
tcf(c_3737,plain,
domain(sK15,sK14,iPr_def_11) = domain_of(iPr_def_11),
inference(superposition,[status(thm)],[c_3579,c_1310]) ).
tcf(c_3739,plain,
domain_of(iPr_def_11) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_3737,c_2130]) ).
tcf(c_3740,plain,
range_of(iPr_def_11) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_3736,c_2132]) ).
tcf(c_4688,plain,
domain(sK14,sK15,sK16) = domain_of(sK16),
inference(superposition,[status(thm)],[c_2134,c_3420]) ).
tcf(c_4697,plain,
domain_of(sK16) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_4688,c_2133]) ).
tcf(c_6339,plain,
range(sK14,sK15,sK16) = range_of(sK16),
inference(superposition,[status(thm)],[c_2134,c_3462]) ).
tcf(c_6349,plain,
range_of(sK16) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_6339,c_2131]) ).
tcf(c_6737,plain,
inverse3(sK14,sK15,sK16) = inverse(sK16),
inference(superposition,[status(thm)],[c_2134,c_3474]) ).
tcf(c_6747,plain,
inverse(sK16) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_6737,c_2129]) ).
tcf(c_6760,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(X1,X0),sK16)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(ordered_pair(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_6747,c_519]) ).
tcf(c_6761,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(X1,X0),iPr_def_11)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(ordered_pair(X0,X1),sK16) ),
inference(superposition,[status(thm)],[c_6747,c_518]) ).
tcf(c_6763,plain,
( ilf_type(iPr_def_11,binary_relation_type)
| ~ relation_like(sK16) ),
inference(superposition,[status(thm)],[c_6747,c_1326]) ).
tcf(c_6764,plain,
ilf_type(iPr_def_11,binary_relation_type),
inference(forward_subsumption_resolution,[status(thm)],[c_6763,c_3250]) ).
tcf(c_6897,plain,
! [X0: $i] :
( member(ordered_pair(X0,sK1(X0,iPr_def_11)),sK16)
| ~ ilf_type(iPr_def_11,binary_relation_type)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,range_of(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_287,c_6760]) ).
tcf(c_6898,plain,
! [X0: $i] :
( member(ordered_pair(X0,sK1(X0,iPr_def_11)),sK16)
| ~ ilf_type(iPr_def_11,binary_relation_type)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_6897,c_3740]) ).
tcf(c_6899,plain,
! [X0: $i] :
( member(ordered_pair(X0,sK1(X0,iPr_def_11)),sK16)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6898,c_6764]) ).
tcf(c_6916,plain,
! [X0: $i] :
( member(ordered_pair(sK0(X0,sK16),X0),iPr_def_11)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,domain_of(sK16)) ),
inference(superposition,[status(thm)],[c_290,c_6761]) ).
tcf(c_6917,plain,
! [X0: $i] :
( member(ordered_pair(X0,sK1(X0,sK16)),iPr_def_11)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,range_of(sK16)) ),
inference(superposition,[status(thm)],[c_287,c_6761]) ).
tcf(c_6918,plain,
! [X0: $i] :
( member(ordered_pair(X0,sK1(X0,sK16)),iPr_def_11)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_6917,c_6349]) ).
tcf(c_6922,plain,
! [X0: $i] :
( member(ordered_pair(sK0(X0,sK16),X0),iPr_def_11)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_6916,c_4697]) ).
tcf(c_6948,plain,
! [X0: $i] :
( ( ordered_pair(sK11(ordered_pair(X0,sK1(X0,iPr_def_11))),sK12(ordered_pair(X0,sK1(X0,iPr_def_11)))) = ordered_pair(X0,sK1(X0,iPr_def_11)) )
| ~ relation_like(sK16)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_6899,c_524]) ).
tcf(c_6969,plain,
! [X0: $i] :
( ( ordered_pair(sK11(ordered_pair(X0,sK1(X0,iPr_def_11))),sK12(ordered_pair(X0,sK1(X0,iPr_def_11)))) = ordered_pair(X0,sK1(X0,iPr_def_11)) )
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6948,c_3250]) ).
tcf(c_8310,plain,
! [X0: $i] :
( member(X0,domain_of(iPr_def_11))
| ~ ilf_type(iPr_def_11,binary_relation_type)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_6918,c_516]) ).
tcf(c_8321,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ ilf_type(iPr_def_11,binary_relation_type)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_8310,c_3739]) ).
tcf(c_8322,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8321,c_6764]) ).
tcf(c_8781,plain,
! [X0: $i] :
( subset(iPr_def_13,X0)
| member(sK7(iPr_def_13,X0),iPr_def_12)
| ~ ilf_type(sK16,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1325,c_8322]) ).
tcf(c_9043,plain,
! [X0: $i] :
( member(X0,range_of(iPr_def_11))
| ~ ilf_type(iPr_def_11,binary_relation_type)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_6922,c_517]) ).
tcf(c_9055,plain,
! [X0: $i] :
( member(X0,iPr_def_14)
| ~ ilf_type(iPr_def_11,binary_relation_type)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_9043,c_3740]) ).
tcf(c_9056,plain,
! [X0: $i] :
( member(X0,iPr_def_14)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9055,c_6764]) ).
tcf(c_9087,plain,
! [X0: $i] :
( subset(iPr_def_15,X0)
| member(sK7(iPr_def_15,X0),iPr_def_14)
| ~ ilf_type(sK16,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1325,c_9056]) ).
tcf(c_27070,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2128,c_1308]) ).
tcf(c_27113,plain,
relation_like(sK16),
inference(superposition,[status(thm)],[c_2134,c_27070]) ).
tcf(c_27267,plain,
! [X0: $i] :
( ( domain(sK14,sK15,X0) = domain_of(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2128,c_1310]) ).
tcf(c_27275,plain,
! [X0: $i] :
( ( range(sK14,sK15,X0) = range_of(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2128,c_1314]) ).
tcf(c_27283,plain,
! [X0: $i] :
( ( inverse3(sK14,sK15,X0) = inverse(X0) )
| ~ ilf_type(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2128,c_1318]) ).
tcf(c_27355,plain,
( ilf_type(iPr_def_11,relation_type(sK15,sK14))
| ~ ilf_type(sK16,relation_type(sK14,sK15)) ),
inference(superposition,[status(thm)],[c_2129,c_1320]) ).
tcf(c_27363,plain,
( ilf_type(iPr_def_11,relation_type(sK15,sK14))
| ~ ilf_type(sK16,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_27355,c_2128]) ).
tcf(c_27364,plain,
ilf_type(iPr_def_11,relation_type(sK15,sK14)),
inference(forward_subsumption_resolution,[status(thm)],[c_27363,c_2134]) ).
tcf(c_27510,plain,
range(sK15,sK14,iPr_def_11) = range_of(iPr_def_11),
inference(superposition,[status(thm)],[c_27364,c_1314]) ).
tcf(c_27511,plain,
domain(sK15,sK14,iPr_def_11) = domain_of(iPr_def_11),
inference(superposition,[status(thm)],[c_27364,c_1310]) ).
tcf(c_27513,plain,
domain_of(iPr_def_11) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_27511,c_2130]) ).
tcf(c_27514,plain,
range_of(iPr_def_11) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_27510,c_2132]) ).
tcf(c_28341,plain,
domain(sK14,sK15,sK16) = domain_of(sK16),
inference(superposition,[status(thm)],[c_2134,c_27267]) ).
tcf(c_28346,plain,
domain_of(sK16) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_28341,c_2133]) ).
tcf(c_55008,plain,
range(sK14,sK15,sK16) = range_of(sK16),
inference(superposition,[status(thm)],[c_2134,c_27275]) ).
tcf(c_55016,plain,
range_of(sK16) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_55008,c_2131]) ).
tcf(c_58004,plain,
inverse3(sK14,sK15,sK16) = inverse(sK16),
inference(superposition,[status(thm)],[c_2134,c_27283]) ).
tcf(c_58012,plain,
inverse(sK16) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_58004,c_2129]) ).
tcf(c_58045,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(X1,X0),sK16)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(ordered_pair(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_58012,c_519]) ).
tcf(c_58048,plain,
( ilf_type(iPr_def_11,binary_relation_type)
| ~ relation_like(sK16) ),
inference(superposition,[status(thm)],[c_58012,c_1326]) ).
tcf(c_58049,plain,
ilf_type(iPr_def_11,binary_relation_type),
inference(forward_subsumption_resolution,[status(thm)],[c_58048,c_27113]) ).
tcf(c_60736,plain,
! [X0: $i] :
( member(ordered_pair(sK0(X0,iPr_def_11),X0),sK16)
| ~ ilf_type(iPr_def_11,binary_relation_type)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,domain_of(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_290,c_58045]) ).
tcf(c_60737,plain,
! [X0: $i] :
( member(ordered_pair(X0,sK1(X0,iPr_def_11)),sK16)
| ~ ilf_type(iPr_def_11,binary_relation_type)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,range_of(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_287,c_58045]) ).
tcf(c_60740,plain,
! [X0: $i] :
( member(ordered_pair(X0,sK1(X0,iPr_def_11)),sK16)
| ~ ilf_type(iPr_def_11,binary_relation_type)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_60737,c_27514]) ).
tcf(c_60741,plain,
! [X0: $i] :
( member(ordered_pair(X0,sK1(X0,iPr_def_11)),sK16)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60740,c_58049]) ).
tcf(c_60745,plain,
! [X0: $i] :
( member(ordered_pair(sK0(X0,iPr_def_11),X0),sK16)
| ~ ilf_type(iPr_def_11,binary_relation_type)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_60736,c_27513]) ).
tcf(c_60746,plain,
! [X0: $i] :
( member(ordered_pair(sK0(X0,iPr_def_11),X0),sK16)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60745,c_58049]) ).
tcf(c_61076,plain,
! [X0: $i] :
( member(X0,domain_of(sK16))
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_60741,c_516]) ).
tcf(c_61084,plain,
! [X0: $i] :
( member(X0,iPr_def_15)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_61076,c_28346]) ).
tcf(c_63577,plain,
! [X0: $i] :
( subset(iPr_def_14,X0)
| member(sK7(iPr_def_14,X0),iPr_def_15)
| ~ ilf_type(sK16,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1325,c_61084]) ).
tcf(c_65674,plain,
( subset(iPr_def_14,iPr_def_15)
| ~ ilf_type(sK16,binary_relation_type) ),
inference(superposition,[status(thm)],[c_63577,c_1323]) ).
tcf(c_67035,plain,
! [X0: $i] :
( member(X0,range_of(sK16))
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_60746,c_517]) ).
tcf(c_67044,plain,
! [X0: $i] :
( member(X0,iPr_def_13)
| ~ ilf_type(sK16,binary_relation_type)
| ~ member(X0,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_67035,c_55016]) ).
tcf(c_67923,plain,
! [X0: $i] :
( subset(iPr_def_12,X0)
| member(sK7(iPr_def_12,X0),iPr_def_13)
| ~ ilf_type(sK16,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1325,c_67044]) ).
tcf(c_84050,plain,
( subset(iPr_def_12,iPr_def_13)
| ~ ilf_type(sK16,binary_relation_type) ),
inference(superposition,[status(thm)],[c_67923,c_1323]) ).
tcf(c_88723,plain,
( subset(iPr_def_13,iPr_def_12)
| ~ ilf_type(sK16,binary_relation_type) ),
inference(superposition,[status(thm)],[c_8781,c_1323]) ).
tcf(c_89079,plain,
( subset(iPr_def_15,iPr_def_14)
| ~ ilf_type(sK16,binary_relation_type) ),
inference(superposition,[status(thm)],[c_9087,c_1323]) ).
tcf(c_89082,plain,
! [X0: $i] :
( subset(iPr_def_15,X0)
| ( ordered_pair(sK11(ordered_pair(sK7(iPr_def_15,X0),sK1(sK7(iPr_def_15,X0),iPr_def_11))),sK12(ordered_pair(sK7(iPr_def_15,X0),sK1(sK7(iPr_def_15,X0),iPr_def_11)))) = ordered_pair(sK7(iPr_def_15,X0),sK1(sK7(iPr_def_15,X0),iPr_def_11)) )
| ~ ilf_type(sK16,binary_relation_type) ),
inference(superposition,[status(thm)],[c_9087,c_6969]) ).
tcf(c_89108,plain,
~ ilf_type(sK16,binary_relation_type),
inference(global_subsumption_just,[status(thm)],[c_89082,c_2135,c_3529,c_3676,c_65674,c_84050,c_88723,c_89079]) ).
tcf(c_89110,plain,
~ relation_like(sK16),
inference(superposition,[status(thm)],[c_1302,c_89108]) ).
tcf(c_89111,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_89110,c_3250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET661+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 11:36:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 37.81/6.71 % SZS status Started for theBenchmark.p
% 37.81/6.71 % SZS status Theorem for theBenchmark.p
% 37.81/6.71
% 37.81/6.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 37.81/6.71
% 37.81/6.71 % ------ iProver source info
% 37.81/6.71
% 37.81/6.71 % git: date: 2026-07-19 20:42:38 +0200
% 37.81/6.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 37.81/6.71 % git: non_committed_changes: false
% 37.81/6.71
% 37.81/6.71 % ------ Parsing...
% 37.81/6.71 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 37.81/6.71
% 37.81/6.71 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 37.81/6.71
% 37.81/6.71 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 37.81/6.71
% 37.81/6.71 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 37.81/6.71 % ------ Proving...
% 37.81/6.71 % ------ Problem Properties
% 37.81/6.71
% 37.81/6.71 %
% 37.81/6.71 % clauses 54
% 37.81/6.71 % conjectures 2
% 37.81/6.71 % EPR 11
% 37.81/6.71 % Horn 46
% 37.81/6.71 % unary 13
% 37.81/6.71 % binary 26
% 37.81/6.71 % lits 110
% 37.81/6.71 % lits eq 18
% 37.81/6.71 % fd_pure 0
% 37.81/6.71 % fd_pseudo 0
% 37.81/6.71 % fd_cond 0
% 37.81/6.71 % fd_pseudo_cond 5
% 37.81/6.71 % AC symbols 0
% 37.81/6.71
% 37.81/6.71 % ------ Schedule dynamic 5 is on
% 37.81/6.71
% 37.81/6.71 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 37.81/6.71
% 37.81/6.71
% 37.81/6.71 % ------
% 37.81/6.71 % Current options:
% 37.81/6.71 % ------
% 37.81/6.71
% 37.81/6.71
% 37.81/6.71 %
% 37.81/6.71
% 37.81/6.71 % ------ Proving...
% 37.81/6.71 %
% 37.81/6.71
% 37.81/6.71 % SZS status Theorem for theBenchmark.p
% 37.81/6.71
% 37.81/6.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 37.81/6.73
%------------------------------------------------------------------------------